Linear Functions and Evaluations

In this video, George Woodbury from the College of the Seoa in Velia, California, explains linear functions and function notation. He demonstrates how to evaluate linear functions using substitution and provides examples. The video also covers graphing linear functions by identifying the y-intercept and using the slope to plot points. Finally, it discusses interpreting graphs to find x and y intercepts and specific function values.

What is the main topic discussed in the video?

• Quadratic Functions

• Linear Functions

• Exponential Functions

• Logarithmic Functions

What does the function notation f(x) = 3x + 14 represent?

• A quadratic function

• A linear function

• An exponential function

• A logarithmic function

In the function f(x) = 3x + 14, what is the input variable?

• f

• 3

• x

• 14

How do you evaluate a function for a specific value?

• By integrating the function

• By graphing the function

• By substituting the value into the function's formula

• By finding the derivative

What is the result of evaluating f(x) = x + 11 for x = -7?

• 11

• -4

• 4

• 18

What is the output when evaluating f(x) = x + 11 for x = b + 4?

• b + 11

• b + 7

• b + 4

• b + 15

What is the general form of a linear function?

• f(x) = log(x)

• f(x) = a^x

• f(x) = mx + b

• f(x) = ax^2 + bx + c

How do you begin graphing a linear function?

• By finding the x-intercept

• By plotting the y-intercept

• By finding the vertex

• By calculating the derivative

What does the slope of a linear function indicate?

• The maximum value

• The x-intercept

• The rate of change

• The y-intercept

What is the y-intercept of the function f(x) = 12x + 2?

• (12, 0)

• (0, 2)

• (0, 12)

• (2, 0)